# Full text of "Everyday Number Stories"

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About Google Book Search Google's mission is to organize the world's information and to make it universally accessible and useful. Google Book Search helps readers discover the world's books while helping authors and publishers reach new audiences. You can search through the full text of this book on the web at |http : //books . google . com/ PCI • EVERYDAY- NUMBER-STORIES •LONCAN-SERL-ELLEDGE- WORLD • BOOK • COMPANY ?^artrarU CoUegc Eibrart LIBRARY OF THE DEPARTMENT OF EDUCATION COLLECTION OF TEXT-BOOKS CONTRIBUTBD BY TMB PUBLISHERS TRANSFERRED TO HARVARD COLLEGE LIBRARY EVERYDAY NUMBER STORIES BY GEORGE BAKER LONGAN LATE ASSISTANT SUPERINTENDENT OF SCHOOLS, KANSAS CITY, MISSOURI EMMA SERL TEACHER IN THE NORMAL TRAINING SCHOOL, KANSAS CITY, MISSOURI FLORENCE ELLEDGE TEACHER IN THE HUMBOLDT SCHOOL, KANSAS CITY, MISSOURI ILLUSTRATED BT II. WOOD YONKERS-ON-HUDSON, NEW YORK WORLD BOOK COMPANY 191S V NEW-WORLD ARITHMETICS Embodying fhe Longan method, which is exemplified in fhe arithmetic work of Kansas City public schools EVERYDAY NUMBER STORIES By Geocse B. Longan, Emma Serl, and Florence EUedce Cloth. 136 pages. Illustrated. Through incidents and activities natural to chil- dren, teaches numbers from i to 100. ELEMENTARY ARITHMETIC By George B. Longan. Edited by J. M. Greenwood Cloth. 270 pages. Illustrated. The fundamental processes taught concretely, in exercises based on actual measurement work. COMMON SCHOOL ARITHMETIC By Joseph H. Marldey. Edited by J. M. Greenwood Cloth. 4J3 pages. IllustraUd. Logical development of essential arithmetical facts and principles, through exercises and prob- lems that fit the experience and needs of the pupil. HARVARn UNIVERSITY DEPT.OF EDUCATION LIBRARY '.'-T Of IHii KUbLlSHER JUL -6 1916 h-..>..f.U C01.LEQE liaPA«, TRANSFERRED FROM T„7 tlBRARy OF THF Copyright^ IQZ4, 191 5* h World Book Company All rights reserved NWAENS — 2 SUGGESTIONS TO TEACHERS Suggestions for Using the Dialogues and the Pictures. Two children may be selected to impersonate Kate and Frank, and the dialogue may be read in the usual way. Have the remaining children follow the reading and decide if the answers are correctly given. Children enjoy this, and several different pairs of children may be selected to repeat the reading. In the second and sub- sequent readings, different numbers may be used so that the children will be kept on the alert. Or, the girls of the class may represent Kate and the boys Frank, giving the answer called for when all are ready. Another way is to disregard the dialogue form, and have the sentences or paragraphs read in turn, all pay- ing strict attention in order to note if correct answers are supplied in the elliptical sentences. Supplement the lessons given by frequent use of measures suggested. Have the pictures carefully studied. Many of them are suitable for oral language lessons. Indeed, the entire book, if wisely used, will be of great assistance in reading and language, as well as in arithmetic. Page 9. Teach the following signs: + is read and or plus, = is read are. i is read how many or what, — is read less. Page 10. Teach that i nickel equals 5 c. Page 14. Show by actual measurement that 2 pt. equal i qt. and I pt. equals \ qt. Teach the abbreviation pt. for pint or pints, and qt. for quart or quarts. Teach the symbol J. Page 17. Teach that the sign X is read times. Page 18. Show by measurement that i yard equals 3 feet, I foot equals \ yard, and 2 feet equal f yardf. Teach the abbre- viation ft. for foot or feet, and yd. for yard or yards. Teach the symbols \ and f . Page 23. Teach that the sign -f- is read divided by. Page 34. Show by measures that i bushel equals 4 pecks. Show parts of a bushel. Teach the abbreviation bu. for bushel or bushels, and pk. for peck or pecks. Teach the symbols i, f , f . [3] SUGGESTIONS TO TEACHERS Page 40. Show by measures that i gallon equals 4 quarts. Show parts of a gallon. Teach the abbreviation gal. for gallon or gal- lons, and qt. for quart or quarts. Page 43. Columns in addition should be added either up or down rapidly. Use similar pages for both oral and written work. Page 44. Teach the abbreviation hr. for hour or hours, and da. for day or days. Page 47. Teach the symbols y, f , etc., and the abbreviation c. for cents or cent. Page 51. Teach the symbols ^y ^y etc. Teach the abbrevia- tion wk. for week or weeks. Page 52. Teach that the term units is the same as ones. Page 57. Teach the abbreviation mo. for month or months. Page 62. Teach that 12 things make i dozen. Page 68. Show by measures that i peck equals 8 quarts. Teach the symbols |, f , etc. Page 72. Show by measures that i gallon equals 8 pints. Page 74. Show by use of scales that i pound equals 16 ounces. Teach the abbreviation lb. for pound or pounds, oz. for ounce or ounces. Page 82. Illustrate by drawings on the board to show size of flower beds. Draw a square yard and divide it into square feet. Page 83. Teach the abbreviation sq. ft. for square foot or square feet, and sq. yd. for square yard or square yards. Teach the symbols ^, f , etc. Page 99. Teach the symbol yV- Page 106. Show by measurement that i foot equals 12 inches. Teach the abbreviation in. for inch or inches. Teach the symbols tV, A> etc. Page 129. Teach the carrying process in addition. Page 131. Teach the borrowing process in subtraction. [4] [5] NUMBERS THROUGH 10 ^^^£^^ ^^' Kate. Speckle has some little chickens. Let us count them. Frank. I can not count them. They run about so fast. Kate. You must count fast, then. One — two — three — four — five — six — seven — eight — nine — ten. She has ten little chicks. Frank. There are three black ones and all the others are white. Kate. There are white ones. Frank. Four little chicks stay close to the mother. chicks run away from her. [6] NUMBERS THROUGH 10 5 chicks and 3 chicks are chicks. 6 frogs and 2 frogs are frogs. 4 birds and 4 birds are birds 7 bears and 1 bear are bears. 5 dolls and 2 dolls are dolls. 5 + 3 = 6 + 2 = 4 + 4 = 7+1 = 5 + 2 = [7] NUMBERS THROUGH 10 Here are some number stories: Four chicks were under a big leaf. It began to rain. Three more chicks ran under the leaf. How many chicks were under the leaf then? 4 + 3 = The sun came out again. Speckle called the chicks: "Cluck, cluck!" Six chicks ran to her. How many chicks stayed under the big leaf.? 7 - 6 = Eight chicks were in the yard. Two chicks saw a hole in the fence and went through it. How many chicks were left in the yard ? 8 - 2 = [8] NUMBERS THROUGH 10 5 chicks + 5 chicks = ? chicks. 4 chicks + ? chicks = 10 chicks. 3 chicks + .? chicks = 10 chicks. 10 chicks - 4 chicks = .? chicks. 8 chicks — 5 chicks = .? chicks. Here is a number story that Kate made for Frank about 10-2: Speckle had 10 little chicks. 2 ran away. How many little chicks stayed close to their mother.? Here is a number story that Frank made for Kate about 5 + 5: 5 little chicks are drinking water and 5 little chicks are eating meal. How many little chicks are there in all? Here is a number story about 6 + 4: Speckle has 6 black chicks and 4 white chicks. How many chicks has she.*^ [9] NUMBERS THROUGH 11 -^^' Frank. How much money have you, Kate? Kate. I have one nickel and six cents. That makes cents. How much have you? Frank. I have one nickel and four cents. That makes cents. Kate. I have cents more than you have. I will give you one cent. Then you will have cents and I will have cents. Frank. I am going to spend three cents for an orange. Ten cents less three cents are cents. Kate. I will spend five cents for candy. Ten cents less five cents are cents. [10] NUMBERS THROUGH 11 Make number stories about: 6 cents + 5 cents 4 apples + 5 apples 8 bananas + 3 bananas 6 dolls + 4 dolls Read and give answers: 10 -5 = 10 -4 = 10 -3 = 10 -7 = 10 -8 = 10 -6 = 10 - 2 = 10 - 9 = Add: 6 5 7 3 9 2 8 2 11 cents — 2 cents 1 1 oranges — 4 oranges 11 plums - 6 plums 1 1 tops - 8 tops 3 5 7 9 8 4 6 2 6 4 7 4 4 3 5 4 5 6 3 7 3 8 [11] 4 7 4 6 3 6 NUMBERS THROUGH 12 1 n 2n 1 n 1 n 1 n 1 n 2n 2n ckel ckels ckel ckel ckel ckel ckels ckels 12 cents 12 cents + 2 cents are + 2 cents are + 3 cents are + 6 cents are + 7 cents are + 4 cents are — 4 cents are — 8 cents are — 1 nickel are — 2 nickels are cents, cents, cents, cents, cents, cents, cents, cents, cents, cents. Number Stories Frank had 12 cents. He spent 2 cents for a top and 3 cents for a little flag. He had cents left. Kate had 11 cents. She spent 5 cents for a doll's hat and 2 cents for candy. She had cents left. [12] NUMBERS THROUGH 12 6 + 5 = 4 + 5 = 7 +4 - 6 + 4 = 4 + 7 = 7 +3 = 6 + 2 = 4 + 8 = 7 +5 = 6 + 3 = 4 + 6 = 9 +3 = 6 + 6 = 4 + 4 = 9 +2 = 5 + 4 = 4 + 3 = 8 +3 = 5 + 5 = 3 + 7 = 8 +2 = 5 + 7 = 3 + 8 = 8 +4 = 5 + 6 = 3 + 6 = 10 +1 = 5 + 3 = 3 + 9 = 10 +2 = 12 — 4 = 12 — 5 = 11 -4 = 12 — 6 = 12 — 7 = 11 -6 = 12 — 10 = 12 — 9 = 11 -5 = 12 — 2 = 12 — 11 = 11 -9 = 12 — 3 = 12 — 8 - 11 -3 = Subtract : 9 8 5 ( 3 7 9 9 5 6 3 2 4 6' 8 11 10 12 11 12 10 12 9 8 4 3 5 6 7 [13] NUMBERS THROUGH 12 — HALVES Frank. See the measures that Uncle Will left here. Kate. This measure holds one quart of water. Frank. This measure holds just one half as much. It holds one pint. In one quart there are pints. Kate. I will put one quart of water into this pail. Now there are two pints in it. Frank. I will put one half quart into it. Now there are pints of water in the pail. That makes a whole quart and half a quart. Kate. Now there are quarts of water in the pail. Frank. Let us fill the pail half full. [14] NUMBERS THROUGH 12 — HALVES Kate. There are now six pints of water in it and it is half full. Frank. There are quarts in the pail. Kate. If I put in six pints more there will be pints. Frank. There will be quarts of water in the pail when it is full. 12 pints less 6 pints are 6 pints and 6 pints are i of 12 pints is i of 10 pints is i of 8 pints is 1 of 6 pints is 4 of 4 pints is pints, pints. pints, pints, pints, pints, pints. 1 qt. = ? pt. 2pt. = ?qt U qt. = ? pt. 4 pt. = ?qt 3 qt. = ? pt. 7pt. = .?qt 4i qt. = ? pt. 9 pt. = ?qt 51 qt. = ? pt. 10 pt. = ?qt 6 qt. = ? pt. 6 pt. = ?qt [15] NUMBERS THROUGH 13 Here are some number stories about Kate and Frank: Kate bought a dozen oranges. She gave away 4 of them. She had oranges left. Frank had 8 pencils. He lost i of them. He lost pencils. Frank had a dime. He spent ^ of it for candy. He had cents left. There were 6 cups on the table. Kate took away ^ of them. She took away cups. Kate had a ribbon 4 yards long. She cut off 4 of it. She cut off yards. Frank had 12 marbles. He gave Kate i of them. He kept marbles. [16] NUMBERS THROUGH 13 Frank and Kate picked 6i quarts of berries. They picked pints of berries. Frank had 7 dollars and Kate had 6 dollars. Together they had dollars. Kate drank a pint of milk each day. In 6 days she drank quarts of milk. 6 + ? = 13 5 + ? - 13 4 + ? = 13 7 + ? = 13 9 + ? = 13 8 + ? = 13 13 13 13 -7 = -9 =- -3 = 2 ones are 2x1- 3 ones 3 X are — 1 = 2 twos are — 2x2 = 2 threes are 2x3 = 2 fours are - 2x4 = 2 fives are — 2x5 = 2 sixes are — 2x6 = 3 twos are - 3x2 = 3 threes are 3x3 = 3 fours are - 3x4 = 4 ones are — 4x1 = 4 twos are - 4x2 = C173 NUMBERS THROUGH 13 — THIRDS Kate. I want to buy a new hair-ribbon. One yard will be enough, I think. Frank. Let me measure it with this foot measure. It is just three feet long. In a yard there are feet. Kate. Then one foot is one third of a yard. Frank. Yes, and two thirds of a yard are feet. Kate. In one yard there are -- — thirds of a yard. Frank. If the ribbon were two yards long it would be feet long. Kate. If the ribbon were two and one third yards long it would be feet long. [18] NUMBERS THROUGH 14 Draw a line 1 yard long. Draw a line i yard long. Draw a line f yard long. Draw a line 2 yards long. Draw a lii 16 21 yards long. i yd. = ? ft. 2 ft. = ?yd. tyd. = ?ft. 1 ft. = .? yd. 1 yd. = ? ft. 12 ft. = ? yd. 2 yd. = ? ft. 6 ft. = ? yd. 3 yd. = ? ft. 3 ft. = ? yd. 4 yd. = ? ft. 9 ft. = ? yd. Add: 4 5 4 7 6 4 5 4 3 5 6 6 5 5 6 3 7 1 1 3 4 2 3 5 2 4 3 4 4 3 3 5 3 3 3 3 2 2 2 2 1 4 2 2 2 2 2 3 2 2 3 2 2 3 4 1 [19 3 NUMBERS THROUGH 14 — THIRDS Frank. Look at my new kite. See what a long tail it has. Kate. How long do you think the tail is? Frank. Let us measure it. Three feet and three feet and one foot are feet. It is feet long. Kate. Let us measure it in yards. One yard and one yard and one third of a yard are yards. It is yards long. Frank. I don't think that is long enough. I am going to make it two feet longer. It is now feet long. Kate. I think that nine feet is too long. Let us cut off one third of it. [20] NUMBERS THROUGH 14 Frank. I will divide it into three equal parts. Three feet and three feet and three feet are nine feet. Kate. One third of it will be feet. Now I have cut it off. Frank. Two thirds are left. The tail of my kite is feet long. i of 9 feet is feet. I of 9 feet are feet. i of 6 feet is feet. f of 6 feet are feet. i of 12 feet is feet. I of 12 feet are feet. 6 + .? = 13 10 + ? = 14 14 - 2 = 5 + .? = 13 8 + .? = 14 14 - 10 = 4 + ? = 13 6 + .? = 14 14 - 8 = 3 + ? = 13 3 + ? = 14 14 - 6 = 7 + ? = 13 7 + .? = 14 14 - 7 = 9 + ? = 13 9 + .? = 14 14 - 5 - 8 + ? = 13 5 + .? = 14 14 - 9 = C21] NUMBERS THROUGH 15 Make number stories about : 7 eggs + 7 eggs 6 pints + 7 pints 10 cents + 4 cents 4 of 14 cents 10 feet - 4 feet 8 pints - 4 pints iof6 = iof 12 = iof 8 = f of6 = f of 12 = ioflO = ^of9 = iof 15 = 4 of 12 = |of9 = f of 15 = Count by 2's to 14. Count by 3's to 15. Count by 4's to 12. Count by 5's to 15. iofl4 = 15 =3 X f 12 = 2 X ? 10 = 2 X ? 15 =5 X ? 12 = 6 X ? 10 = 5 X ? 14 =2 X ? 12 = 3 X .? 9 = 3 X ? 14 =7 X ? 12 = 4 X ? 8 =4 X ? Multiply: 5 3 5 2 7 3 4 3 3 2 6 2 5 3 [22] NUMBERS THROUGH 15 In 2 there are 2 2 divided by 2 are In 4 there are 2 4 divided by 2 are In 6 there are 2 6 divided by 2 are In 8 there are 2 8 divided by 2 are In 10 there are 2 10 divided by 2 are In 12 there are 2 12 divided by 2 are In 14 there are 2 14 divided by 2 are 2^2= 15-7= 6+5 = 4^2= 15-6= 7+8 = 6 H-2 = 15 - 4 = 8 +7 8 -^2 = 15 - 3 = 7 +7 10 -f-2 = 15 - 5 = 10+5 12 -h2 = 15 - 10 = [23] 9 +4 NUMBERS THROUGH 16 Frank. Uncle Will gave me some new marbles. Kate. How many did he give you? Frank. I don't know. Let us count them. I have Kate. Let us put two in a group. I can make groups. 8 times 2 marbles are mar- bles. Frank. Now I will put four in a group. I can make groups. 4 times 4 marbles are marbles. Kate. Let us put eight in a group. I have made groups. 2 times 8 marbles are mar- bles. [24] Add: NUMBERS THROUGH 16 In 16 there are eights. In 16 there are fours. In 16 there are twos. In 15 there are threes. In 15 there are fives. In 14 there are sevens. In 14 there are twos. In 12 there are fours. In 12 there are threes. 16 ^2= 2x6 = 16h-4= 2x7 = 16h-8= 2x8 = 15-5-5= 3x4 = 15 ^3= 3x5 = 14 ^7= 4x4 = 14 ^2= 5x3 = 12^-4= 8x2 = 8 9 7 6 4 4 5 4 3 7 4 5 5 5 4 2 15 6 5 6 [25] NUMBERS THROUGH 16 Iqt 2 qt 3 qt 4 qt 5 qt 6qt 7qt 8 qt ?pt. ?pt. .= ?pt. .= ?pt. • ^ ?pt. .= ?pt. .= ? pt. ?pt. 1yd. 2 yd. 3 yd. 4 yd. 5 yd. = ? ft. = ? ft. = ? ft. = ? ft. = ? ft. 1 nickel = ? c. 2 nickels = ? c. 3 nickels = ? c. Count by 2's to 16. Count by 3's to 15. Count. by 4's to 16. Count by 5's to 15. Count by 2's from.l to 15. Count by 3's from 1 to 16. Count by 4's from 1 to 13. Count backward by 2's from 16. Count backward by 2's from 15. Count backward by 3's from 15. Count backward by 4's from 16. Count backward by 4's from 15. Count backward by 5's from 15. [26] NUMBERS THROUGH 16 Add: 5 8 3 9 5 5 6 7 4 7 2 6 8 6 5 6 5 6 7 6 7 9 7 5 8 7 9 8 8 7 8 7 8 7 7 2 4 3 5 5 6 9 3 4 5 6 8 9 7 3 5 5 3 4 2 3 6 2 4 2 4 2 5 Subtract: 16 16 16 15 12 11 14 8 7 10 4 6 4 5 16 16 10 12 13 13 14 9 6 4 7 6 8 7 15 14 13 15 15 14 13 8 8 2 9 7 6 9 [27] NUMBERS THROUGH 17 Kate. Let us play school. I will be the teacher. Frank. All right. Give me some hard questions. Kate. Here is a hard one. 14 pints are how many quarts.? Frank. 14 pints are quarts. Kate. 17 pints are how many quarts.? Frank. That is too hard. I do not know. Kate. I do not think that is hard. 16 pints are how many quarts .? Frank. 16 pints are quarts. Kate. Now, 17 pints are how many quarts.? [28] NUMBERS THROUGH 17 Frank. 17 pints are quarts. It is easy now. Kate. 2 yards are how many feet? Frank. 2 yards are feet. Kate. 5 yards are how many feet? Frank. 5 yards are feet. Kate. 16 feet are how many yards? Frank. 16 feet are yards. Kate. 17 feet are how many yards? Frank. 17 feet are yards. Kate. You are a good pupil. Now let us go out- doors and play. 17-3 = 17-7 = 16-7 = 17-10 = 17-6 = 16-5 = 17-8 = 17-9 = 16-8 = 17-5 = 16-9 = 16 - 10 = Make number stories about: 17 birds - 10 birds 17 frogs - 9 frogs 16 roses — 4 roses 16 marbles - 8 marbles 6 sheep + 8 sheep 9 chicks + 8 chicks 12 rabbits + 4 rabbits 10 plums + 5 plums [29] NUMBERS THROUGH 18 2qt 8qt 6 qt 5 qt 3 qt 9qt = ? pt. = ?pt. = ?pt. = ? pt. = ?pt. = ? pt. 5 qt. + 5 pt. 4 qt. + 4 qt. 5 qt. + 5 qt. 6 qt. + 3 pt. 8 qt. - 3 pt. 18 pt. - 2 qt. 1 yd 5 yd 4 yd 2 yd 3 yd 6 yd = ?pt = ?pt = .? pt = ?pt = ?pt = ?pt = ? ft. = ?ft. = f ft. = ? ft. = ?ft. = ? ft. In 18 there are In 18 there are In 18 there are In 18 there are twos, nines, threes, sixes. 18 H- 2 = 18 4-3 = 18 4-6 = 18 4-9 = 18-9 = 18-4 = 18-6 = 18-12 = [30] 2x8 2x9 3x5 3x6 NUMBERS THROUGH 18 Add: 9 6 8 9 8 8 8 7 8 7 6 3 8 9 4 5 9 6 8 4 6 4 6 3 6 2 5 6 3 2 3 4 5 6 6 8 7 6 9 8 9 8 8 4 5 4 5 4 6 1 3 4 4 2 2 4 4 3 .5 7 6 7 7 4 6 5 7 4 7 8 5 2 6 2 6 2 3 4 5 6 6 5 5 4 3 2 3 6 5 3 5 4 4 4 3 5 5 4 2 1 3 3 2 3 2 10 14 14 11 13 15 10 7 4 3 5 [31] 2 2 _6 NUMBERS THROUGH 19 Frank. I have a yard measure and a foot rule. We can have fun measuring things. Kate. Let us measure the rug first. This rug is 5 feet long and 3 feet wide. It is feet around it. Frank. This table is 4 feet long and 3 feet wide. It is feet around it. Kate. This window is 6 feet high and 3 feet wide. It is feet around it. Frank. This big mirror is 3 feet high and 2 feet wide. It is feet around it. Kate. This picture is 2 feet wide and 4 feet long. It is feet around it. Frank. This curtain is 7 feet long and 2 feet wide. It is feet around it. [32] NUMBERS THROUGH 19 19-6 = 8 + 8 = 7+ ? = 19 19-12 = 8+7 = 6 + ?= 19 19-4- 9+8 = 4+ r = 19 19-2 = 9+9 = 12+ i >= 19 19-8 = 10+9 = 16+ i '=19 19-7 = 10+7 = 5+ i '= 19 19-11 = 8 + 9 = 14+ . '= 19 19-3 = 9+7 = 13 + ?=19 19-5 = 6 + 9 = 11+ i '= 19 19 - 13 = 5 + 8 = 10+ i '=19 19-9 = 12+7 = 9+ f = 19 3x6 = 18-5-6 = 6+ ; '= 18 3x5 = 18-5-2 = 12+ : '= 18 2x9 = 18^3 = 10+ i '= 18 6x3 = 18^9 = 5+ i '= 18 4x4 = 16^4 = 15+ i '= 18 9x2 = 16 H- 2 = 3+ i '= 18 2x8 = 16^8 = 13+ i '= 18 7x2 = 15^3 = 9+ i '= 18 5x3 = 15-1-5 = 8+ i '= 18 8x2 = 14-^7 = 7+ i '= 18 2x7 = 14 + 2 = [33] 4+? = 18 NUMBERS THROUGH 20 — FOURTHS Frank. Jack Frost came last night and the ground is covered with nuts. Let us get all we can and sell them. Kate. We can fill these peck measures and then put the nuts into the bushel basket. It will take four pecks to fill it. Frank. Now I have one peck of nuts. The bushel basket is one fourth full. Kate. I will put my peck into the basket. It is now half full. In one half bushel there are fourths of a bushel. [34] NUMBERS THROUGH 20 — FOURTHS Frank. I have put in another peck of nuts. Now the basket is three fourths full. Three fourths of a bushel are pecks. Kate. I have another peck; now the basket is full. In one bushel there are pecks. Let us put the nuts into a sack and fill the basket again. Frank. Here is another peck. One bushel and one peck are pecks. Kate. Now I will put my peck in. One bushel and two pecks are bushels. Frank. We shall soon have the basket full again. Two bushels of nuts are pecks. Kate. If we get three bushels of nuts that will be pecks. Frank. I hope we can get four bushels. That will be pecks of nuts. Multiply: 7 3 2 8 5 3 2 2 4 4 2 3 6 10 [35] NUMBERS THROUGH 20 1 bu. = .? pk. 3 bu. = .? pk. ^ bu. = ? pk. 3i bu. = .? pk. i bu. = .? pk. 31 bu. = .? pk. -1 bu. = .? pk. 4 bu. = ? pk. U bu. = ? pk. 4| bu. = .? pk. 21 bu. = .? pk. 5 bu. = .? pk. Make number stories about: 5 bushels of nuts - 2| bushels of nuts 5 yards of ribbon + H yards of ribbon 2 bushels of apples - 11^ bushels of apples In 18 there are nines. In 18 there are sixes. In 20 there are tens. In 20 there are fours. In 20 there are fives. In 20 there are twos. Multiply: 10 9 6 5 4 4 3 2 2 3 4 5 4 5 [36] NUMBERS THROUGH 22 Number Stories Kate bought a piece of ribbon 7|^ yards long. She cut off 2 yards. yards were left in the piece. Kate's father bought a barrel of apples that held 2| bushels. He bought pecks of apples. If a quart of milk costs 8 cents, 21 quarts will cost cents. Kate paid 2J^ dollars for a pair of shoes and 3. J dollars for a hat. She spent dollars. Frank can walk 4 miles in an hour. In 21 hours he can walk miles. Kate bought grapes at 8 cents a pound. For 20 cents she received pounds of grapes. Frank bought 11 apples at 2 cents each. He paid cents. Kate and Frank gathered 4 bushels of nuts. They sold \\ bushels. They had bushels left. Frank can ride 8 miles in an hour on his wheel. How long will it take him to go 20 miles.? [37] NUMBERS THROUGH 24 2 quarts are - 4 quarts are - 10 quarts are - 21 pints are - 11 quarts are - 23 pints are - 24 pints are - 5 yards are - 16 feet are 6 yards are - 20 feet are 7 yards are - 22 feet are 23 feet are 24 feet are 5 bushels are 20 pecks are 21 pecks are 22 pecks are 23 pecks are 24 pecks are pints. pints. pints. quarts. pints. quarts. quarts. feet. yards. feet. yards. feet. yards. yards. yards. - pecks. - bushels. - bushels. - bushels. - bushels. - bushels. [38] NUMBERS THROUGH 24 Tell number stories about: 6 qt. +1 pt. 5 qt. - 3 pt. 5 yd. + 2 ft. 6 yd. - 4 ft. 3 pk. + 3 pk. 6 bu. - 3 pk. 24 = .? X 12 24 = ? X 2 20 = ? X 10 24 = ? X 8 22 = .? X 11 20 = ? X 5 24= ?x 6 22 = ? X 2 20 = ? X 4 24= ?x 4 21 = ? X 3 20 = ? X 2 24 = ? X 3 21 = ? X 7 18 = ? X 9 Count by 2's to 24. Count by 3's to 24. Count by 4's to 24. Count by 5's to 24. Count by 6's to 24. iof24 = |of 9 = |of 8 = iof20 = 1 of 12 = iof 8 = i of 18 = i of 15 = i of 12 = i of 16 = iof21 = 1 of 12 = i of 14 = iof24 = 1 of 16 = i of 10 = 4 of 18 = i of 20 = [39] NUMBERS THROUGH 24 — FOURTHS Frank. Uncle Will has been milking old Bess. Here he comes with the milk. Kate. I wonder how much he got today. Let us see you measure the milk, please, Uncle Will. Uncle Will. Yes, you may stand here by the table. This is a gallon measure. It takes four quarts of milk to fill it. The measure is half full now. Do you know how many quarts that is.? Frank. I know! It is quarts. Kate. If you put in quarts more it will be full. [40] NUMBERS THROUGH 24 Uncle Will. That is right. I will pour the gal- lon of milk into the jar and fill it again. Now the gallon measure is one fourth full. How many quarts is that? Kate. That is just quart. Uncle Will. Here is another quart. Now the gallon measure is two fourths full. Frank. That is quarts. Two fourths of a gallon is the same as of a gallon. Uncle Will. I will put in another quart. Now the gallon measure is three fourths full. Kate. There are quarts of milk in it. One quart more and it will be full. Uncle Will. It is full now. I will pour it into the jar. There are quarts of milk in the jar now. Frank. Old Bess is a good cow. She gave gallons of milk. [41] NUMBERS THROUGH 24 1 gal. Ugal. lUal. U gal. 2 gal. 21 gal. 3 gal. gal. gal. gal. ?qt ?qt ?qt ?qt ?qt ?qt ?qt ?qt ?qt ?qt ? 2qt Iqt 3qt 4 qt 6 qt 5 qt 7qt 8qt 12 qt 20 qt = ? gal. gal. gal. gal. gal. gal. gal. gal. gal. gal. 2 gal. + 2 gal. + 3 gal. + 5 gal. + 4 gal. + 5 gal. - 6 gal. - 5 gal. - 4 gal. - 4 gal. - 3 gal. - 3qt 5 qt 3qt 2 qt 5 qt 2qt 5 qt 3 qt 6 qt 10 qt 9 qt . = . ^qt. . = ?qt. .= ?qt. .= ?qt. . = ?qt. .= ?qt. .= ?qt. ^qt. . = ?qt. ss ?qt. . = ; 'qt. [42] NUMBERS THROUGH 24 Add: 6 5 7 8 9 7 8 6 5 7 8 9 6 4 2 3 7 4 2 7 3 4 5 6 3 2 7 8 7 8 9 8 7 7 8 4 4 4 3 5 6 4 7 3 5 8 6 2 4 5 4 3 . 4 5 2 2 5 6 7 4 3 6 6 5 6 2 4 4 4 5 5 6 7 4 3 6 6 2 4 3 5 9 6 5 3 4 3 4 7 6 5 5 3 6 2 6 3 2 3 4 3 4 7 4 4 5 3 6 3 3 2 4 6 4 3 4 1 4 5 [43] NUMBERS THROUGH 24 Frank. It is seven o'clock. We can stay up one hour more. How many hours are there in a whole day? Kate. In a day there are twenty-four hours. The minute hand of the clock has to go around times every day. Frank. From noon until midnight is hours. From midnight until noon is hours. Kate. One half of a day is hours. Frank. I get up at seven o'clock. It is hours until noon. I go to bed at eight o'clock. That is hours after noon. I am awake hours each day. Kate. Father works one third of each day. He works hours. [44] NUMBERS THROUGH 24 12 hours + 12 hours = ? hours. i day = ? hours. 8 hours + 8 hours + 8 hours = .? hours. 3x8 hours = .? hours. 1 day = ? hours. 1 day = ? hours. 6 hours + 6 hours + 6 hours + 6 hours i day = .? hours. f day = ? hours. 1 day = ? hours. 5 cents are J of — — cents. 3 books are | of — — books. 6 marbles are i of marbles. 4 days are i of - days. 9 feet are i of feet. 3 nickels are i of - nickels. 7 weeks are i of — — weeks. 4 apples are | of — — apples. 12 yards are i of — — yards. 9 inches are i of — — inches. ? hours. 10 oranges are 4 of oranges. [45] NUMBERS THROUGH 25 — FIFTHS Kate. Father gave me a nickel. Frank. He gave me five copper cents. That is as much as a nickel. Here is one cent. One cent is one fifth of a nickel, because five cents make one nickel. Kate. Show me two fifths of a nickel. Frank. Two fifths of a nickel are cents. Kate. Please lend me three cents. One nickel and three cents are cents. Frank. Eight cents are nickels. Kate. Father gave me five nickels for a new book. Five nickels are cents. Frank. My book will cost twenty cents. I shall ask father for nickels. [46] NUMBERS THROUGH 25 1 nickel = ? c. 2 c. = ? nickels. f nickel = ? c. 4 c. = ? nickels 1 nickel = ? c. 3 c. = ? nickels 1 nickel = ? c. 10 c. = ? nickels 2 nickels = ? c. 20 c. = ? nickels 3 nickels = ? c. 5 c. = ? nickels 4 nickels = ? c. 15 c. = ? nickels 5 nickels = ? c. 25 c. = ? nickels Tell number stories about: 4 nickels + 3 c. 19 c. - 3 nickels 2 nickels + 6 c. 18 c. - 2 nickels 23-5 = 24- 4 = 25-5 = 23-4 = 24- 14 = 25-15 = 23 - 15 = 24- 20 = 25 - 12 = 23 - 10 = 24- 8 = 25 - 10 = 23 - 12 = 24- 6 = 25-11 = 23 - 13 = 24- 10 = 25-6 = 23- 6 = 24- 12 = 25-9 = 23-7 = 24- 13 = 25-8 = 23-9 = 24- 11 = 25 - 20 = [47] NUMBERS THROUGH 28 20 pints are quarts. 24 pints are quarts. 26 pints are quarts. 28 pints are quarts. 21 feet are yards. 24 feet are yards. 18 feet are yards. 15 feet are yards. 27 feet are yards. 12 feet are yards. 20 quarts are gallons. 24 quarts are gallons. 16 quarts are gallons. 28 quarts are gallons. The multiplication table of twos: 2x1=2 2x7= 14 2x2=4 2x8= 16 2x3=6 2x9= 18 2x4=8 2x10 = 20 2x5= 10 2 X 11 = 22 2 X 6 = 12 2 X 12 = 24 [48] NUMBERS THROUGH 28 • 19 16 15 18 12 21 14 4 6 8 10 8 6 8 8 6 4 8 9 8 7 8 7 5 2 3 4 9 4 8 6 4 6 9 2 9 8 6 5 4 9 8 9 7 8 5 9 9 9 3 5 4 7 3 9 8 7 6 8 9 5 8 9 7 7 4 3 4 5 7 4 2 5 6 6 9 6 8 9 8 5 5 8 4 6 5 4 5 4 2 6 7 2 3 4 6 9 4 6 2 4 2 2 1 5 2 [49] NUMBERS THROUGH 28 — SEVENTHS Ajijd^iXM /- /.//■■'/ ^ ^^gs^^ Frank. Can you say the names of the days of the week ? Kate. Yes, I can say them and I can spell them, too. I will write them and you can count them. Frank. There are seven days in the week. To- day is Friday. Only one seventh of the week is left. Kate. We go to school five days. Frank. That is sevenths of the week. [50] NUMBERS THROUGH 28 Kate. Next week we have a holiday, so we shall go to school only sevenths of the week. Frank. How many days are there in two weeks.? Kate. There are days in two weeks. Frank. How many days are there in three weeks? E. 1 nere ai c aa ys 1 n tnree v /ecKS. 1 wk. = ?da. 1 da. = .?wk. |wk. = ?da. 3da. = ?wk. |wk. = ?da. 6da. = .?wk. 1 wk. = ?da. 8da. = ?wk. 1 wk. = ?da. 10 da. = ?wk. U wk. = ?da. 14 da. = .?wk. 1| wk. = ?da. 15 da. = .?wk. 2 wk. = .?da. 21 da. = ?wk. 3 wk. = ?da. 22 da. = ?wk. 26 = ? X 13 28- 5 = 28- 18 26= ?x 2 28- 9 = 28- 10 27 = ? X 3 28- 14 = 28-20 27 = .? X 9 28- 7 = 28-6 28 = ? X 7 28- 21 sz 28- 16 [51] NUMBERS THROUGH 30 Begin with 2 and count by 2's to 30. Begin with 3 and count by 2's to 29. Begin with 3 and count by 3's to 30. Begin with 2 and count by 3's to 29. Begin with 4 and count by 4's to 28. 1 ten and 3 units are 13. 2 tens and 5 units are . 2 tens and units are 28. 2 tens and 6 units are . 2 tens and units are 29. 2 times 3 times 5 times 6 times 10 times are 30. are 30. are 30. are 30. are 30. 15 times are 30. 2 times are 28. 4 times are 28. 7 times are 28. 14 times are 28. [52] NUMBERS THROUGH 30 Add: 8 5 2 3 6 8 2 3 2 5 2 5 6 9 2 5 4 4 5 6 2 4 3 8 3 4 2 2 12 10 15 13 12 16 10 4 10 4 6 5 4 7 5 2 3 5 5 3 7 3 1 6 2 4 5 3 2 3 1 4 3 2 2 8 9 7 6 5 7 8 8 9 6 3 4 4 4 3 2 3 3 5 7 3 3 4 1 2 4 5 2 3 5 4 5 6 6 5 9 8 8 7 7 9 8 8 7 8 5 8 1 6 6 5 4 7 3 6 4 3 6 7 6 6 4 3 4 2 3 4 5 9 7 [53] NUMBERS THROUGH 30 24 pt. = ? qt. 12 qt. = ? gal. 25 pt. = ? qt. 16 qt. = ? gal. 26 pt. = ? qt. 20 qt. = ? gal. 28 pt. = ? qt. 24 qt. = ? gal. 29 pt. = ? qt. 28 qt. = ? gal. 30 pt. = ? qt. 29 qt, = ? gal. 21 ft. = .? yd. 15 c. = ? nickels. 24 ft. = ? yd. 20 c. = ? nickels. 27 ft. = ? yd. 25 c. = ? nickels. 28 ft. = ? yd. 27 c. = ? nickels. 29 ft. = ? yd. 29 c. = ? nickels. 30 ft. = ? yd. 30 c. = ? nickels. imber stories about: 5 gallons of vinegar — 2 quarts of vinegar 91 yards of lace - 2 yards of lace 15 quarts of milk - 5 pints of milk 5 nickels — 17 cents 4 weeks + 2 days I of 20 cents i of 30 feet [54] NUMBERS THROUGH 30 25- 10 = 28- 14 = 10+9 25- 5 = 28- 8 = 11+11 25- 15 = 28- 18 = 12+10 25- 6 = 28- 10 = 14+10 25- 8 = 28- 4 = 16+12 25- 7 = 28- 24 = 18+10 25- 9 = 28- 5 = 20+10 26- 13 = 29- 9 = 10+15 26- 6 = 29- 19 = 12+11 26- 16 = 29- 8 = 13+9 26- 5 = 29- 6 = 15+10 26- 4 = 29- 16 = 17+6 26- 7 = 29- 4 = 18+9 26- 8 = 29- 15 = 16+8 27- 10 = 30- 15 = 15+11 27- 7 = 30- 10 = 20+8 27- 17 = 30- 5 = 20+9 27- 6 = 30- 6 = 12+12 27- 8 = 30- 16 = 12+13 27- 9 = 30- 8 = 14+14 27- 12 = 30- 12 = 15+15 [55] NUMBERS THROUGH 30 Kate. This is the fifteenth day of November. This month is not so long as October. Frank. November has days. I can find 15 on the calendar. Kate. There are days more in the month. Frank. The month is just half gone. Kate. We can divide November into three equal parts. days and days and days are 30 days. Frank. Then one third of a month is days, and two thirds are days. Kate. The month will soon be two thirds gone. [56] NUMBERS THROUGH 30 15 da. + 15 da. = ? da. 2 X 15 da. = ? da. 4 mo. = ? da. 10 da. + 10 da. + 10 da. = ? da. 3 X 10 da. = ? da. ^ mo. = ? da. f mo. = ? da. 6 da. + 6 da. + 6 da. + 6 da. + 6 da. = .? da. 5 X 6 da. = ? da. I mo. = ? da. I mo. = ? da. 5 da. + 5 da. + 5 da. + 5 da. + 5 da. + 5 da. = ? da. 6 X 5 da. = .? da. I mo. = ? da. 3 X 10 days = ? da. 27-^3 = 30^ 3 = 9x 3 27^9 = 30 H- 5 = 7x 4 30^2 = 30-5-6 = 5x 6 28 H- 4 = 30 ^ 10 = 2x15 28-5-7 = 30 ^ 15 = [57] 3x10 NUMBERS THROUGH 32 15 days are 4 of - days. 10 pints are i of - pints. 10 feet are i of feet. 10 quarts are 1 of — — quarts. 16 cents are | of — — cents. 15 oranges are i of - oranges. 7 oranges are 1 of - oranges. 3 dolls are ^ of - dolls. 5 balls are | of - balls. 4 bananas are | of bananaj 4 of 24 marbles are - marbles 1 of 24 marbles are - marbles i of 18 eggs are - eggs. i of 15 apples are — — apples. 1 of 15 apples are — — apples. i of 20 pencils are — — pencils. 1 of 27 days are - days. 1 of 21 days are - days. i of 30 inches are — — inches. 4 of 22 cents are — cents. [58] NUMBERS THROUGH 32 Add: 8 7 5 9 6 8 8 8 8 6 9 7 8 5 8 2 4 4 6 4 7 8 5 2 6 5 4 2 6 5 6 9 4 7 7 5 3 6 8 7 6 7 6 7 6 3 4 4 3 5 2 3 8 5 2 3 4 4 8 2 6 5 5 8 8 6 9 6 5 7 6 8 4 3 5 4 3 8 3 3 2 4 5 6 6 3 5 4 7 4 4 4 6 2 1 2 6 9 Multiply: 9 8 6 10 7 5 6 3 4 5 3 4 5 4 3 5 7 4 3 4 5 6 4 3 6 [59] 9 8 6 NUMBERS THROUGH 34 28 pt. = ?qt. 24 pk. = ?bu. 30 pt. = ?qt. 28 pk. = ? bu. 32 pt. = .?qt. 30 pk. = ?bu. 33 pt. = ?qt. 32 pk. = .?bu. 34 pt. = ?qt. 34 pk. = ?bu. 27 ft. = , ?yd. 20 c. = ? nickels. 30 ft. = . ^yd. 25 c. = ? nickels. 31 ft. = ?yd. 30 c. = .? nickels. 33 ft. = . >yd. 32 c. = } nickels. 34 ft. = . >yd. 34 c. = ? nickels. 24 qt. = ; 'gal. 21 da. = ?wk. 28 qt. = : *gal. 28 da. = ?wk. 32 qt. = . ?gal. 30 da. = ?wk. 33 qt. = i 'gal. 32 da. = .?wk. 34 qt. = : 'gal. 34 da. = ? wk. Make number stories about : 17 quarts of milk — 10 quarts of milk 20 dollars + 14 dollars 30 days - 10 days 15 yards of silk + 6 yards of silk [60] NUMBERS THROUGH 34 17+17 = 34- 6 = iof 18 20 + 13 = 34- 5 = i of 18 28+5 = 34- 10 = iof20 26+6 = 34- 4 = J^of20 22+9 = 34- 3 = |of20 24+8 = 34- 9 = iof21 27+7 = 33- 10 = lof22 25+9 = 33- 6 = iof24 24 + 10 = 33- 2 = iof24 29+5 = 33- 7 = iof24 26+4 = 33- 3 = iof30 34- - 2 = 5x ?=25 |of25 33. - 3 = 5x ? = 30 iof26 33- - 11 = 13 X ? = 26 |of27 32- - 8 = 2x ? = 26 4 of 28 32- 1- 4 = 9x ? = 27 iof28 32 ^ 16 = 3x ? = 27 |of32 32 4-2 = 7x ? = 28 f of30 30 4- 15 = 14 X ? = 28 iof30 30 H- 10 = 4x ? = 28 iof32 30 H- 3 = 2x ? = 28 iof34 [61] NUMBERS THROUGH 36 Kate. We always have a good time when we come out to the farm. Frank. Aunt Alice said we might gather the eggs. Let us do that first. We can take this basket. Kate. Let us look first in the barn. See! There is a hen on her nest. Do not frighten her. Frank. Here are six eggs in this nest. That is dozen eggs. Kate. Here are six more. That makes dozen. Frank. Now I have four more. That makes eggs. Kate. It will take more eggs to make two dozen. [62] NUMBERS THROUGH 36 3 dozen eggs — 10 eggs are eggs. 2 dozen eggs — | dozen eggs are eggs. I dozen eggs are eggs. I dozen eggs are eggs. f dozen eggs are eggs. l^ dozen eggs are eggs. 1| dozen eggs are eggs. 1 dozen eggs and 8 eggs are eggs. 2 dozen eggs and 4 eggs are eggs. 2^ dozen eggs are eggs. 3 dozen eggs are eggs. Make number stories about : 1 dozen eggs + 6 eggs 2 dozen eggs - 6 eggs Write the multiplication table of twos. The multiplication table of threes: 3x1=3 3x7 = 21 3x2=6 3x8 = 24 3x3=9 3x9 = 27 3 X 4 = 12 3 X 10 = 30 3x5=15 3x11 = 33 3 X 6 = 18 3 X 12 = 36 [63] NUMBERS THROUGH 36 1 = 4of- 1 = iof 2 = 4of- - — 2 = lof 3 = iof- 3 = iof 4 = iof- 4 = iof 5 = iof- 5 = 4 of 6- iof- 6 = iof 7 = iof- 7 = iof 8 = 4of- 8 = iof 9 = iof- 9- iof 10 = iof- 10 = iof 11 = iof- 11 = lof 12 = iof- 12 = |of • Subtract: 21 22 27 37 35 24 31 10 10 10 10 10 10 10 28 29 29 20 30 30 30 6 7 9 8 _6 9 7 28 26 36 35 29 36 27 7 5 6 _5 8 4 7 [64] NUMBERS THROUGH 36 2 times — are 34 9 times — — are 36 7 times — are 35 6 times — — are 36 5 times — are 35 4 times — — are 36 18 times — are 36 3 times — — are 36 12 times — — are 36 2 times — — are 36 18 + 18 = 30 H h ? = 36 36 .-10 = 20 + 15 = 26 H h ? = 36 36 ► -12 = 30+5 = 18 H h ? = 36 36 .- 6 = 28+4 = 20 H h ? = 36 36 .-16 = 30+ 6 = 29 H h ? = 36 36 .-26 = 29+5 = 3H h ? = 36 36 _ 4 = 28+8 = 28 H h ? = 36 36 .-14 = 27+5 = 16- h ? = 36 36 »-24 = 24+6 = 27 H h ? = 36 36 - 5 = 21 + 12 = 25 H h ?=36 36 .-15 = 30- - ? = 2 32- - ? = 16 36- - ? =18 30- - ? = 3 32 H - ?= 4 36. - ? = 9 30- - ? = 6 32- - ?= 8 36- - ? = 4 30- - ? = 5 33- - ?= 3 36- - ? = 6 30- '~ I ^ 10 33- 5- ? = 11 36- h ? =12 [65] NUMBERS THROUGH 38 Number Stories If a gallon of gasoline costs 12 cents, what will 2| gallons cost? Kate's mother bought 15 yards of silk for a dress. This was H yards too much. How much did it take for the dress? Kate's mother canned 2\ gallons of cherries. How many quarts did she can? Frank rode 6 miles on his bicycle in an hour. How far could he ride in H hours ? A grocer bought some oranges. He found that there were 3 spoiled ones in every dozen. How many spoiled ones were there in 12 dozen? If it takes a freight train an hour to go 28 miles, how many miles can it go in 1 of an hour? If oranges cost 2 cents apiece, Y dozen will cost cents. i dozen will cost cents. 4 dozen will cost cents. 1 dozen will cost cents. [66] NUMBERS THROUGH 38 If eggs cost 1\ cents apiece, 2 eggs will cost cents. 4 eggs will cost cents. 3 eggs will cost cents. 6 eggs will cost cents. 30 pt. = } qt. 37 qt. = ? gal. 32 pt. = .? qt. 38 qt. = ? gal. 34 pt. = .? qt. 30 c. = .? nickels. 36 pt. = .? qt. 35 c. = .? nickels. 38 pt. = ? qt. 36 c. = .? nickels 36 ft. = .? yd. 28 da. = ? wk. 37 ft. = ? yd. 35 da. = ? wk. 38 ft. = ? yd. 36 da. = f wk. Add: 2 4 1 2 5 6 5 2 3 8 6 6 9 4 7 4 8 6 5 3 5 9 8 7 8 6 6 7 9 8 6 8 8 5 6 9 6 7 8 [67] 6 6 6 NUMBERS THROUGH 40 Frank. Now let us feed the horses. There are eight in the barn. Kate. Uncle Will said we might give them each one quart of oats. Frank. I will fill this peck measure and cany it for you. You can fill the quart measure from it. Kate. There will be just enough to feed the eight horses. In one peck there are quarts. Frank. How hungry the horses are! How glad they are to see us! [68] NUMBERS THROUGH 40 — EIGHTHS Kate. You have taken half of the oats out of the peck measure. You have fed horses. Frank. If the horses eat a peck of oats every day, in two days they will eat quarts of oats. Kate. In three days they will eat quarts of oats. quarts of Frank. In four days they ' will eat qu oats. i pk. = ? qt. 4 qt. = .? pk. ^ pk. = ? qt. 1 qt. = ? pk. 1 pk. = .? qt. 2 qt. = } pk. i pk. = .? qt. 6 qt. = ? pk. 1 pk. = } qt. 16 qt. = ? pk. 2 pk. = ? qt. 8 qt. = .? pk. 3 pk. = .? qt. 40 qt. = ? pk. 4 pk. = ? qt. 24 qt. = f pk. 5 pk. = ? qt. 32 qt. = .? pk. 1 of 16 qt. = ? qt. 2 X 16 qt. = .? qt iof40qt. = ? qt. 3 X 10 qt. = f qt i of 30 qt. = ? qt. 4 X 10 qt. = ? qt [69] NUMBERS THROUGH 40 5t 6t 2t 3t lit 2t 17 t 5t 7t 2t 18 t 3t 12 t mes mes mes mes mes mes mes mes mes mes mes mes mes are 30. are 30. are 32. are 33. are 33. are 34. are 34. are 35. are 35. are 36. are 36. are 36. are 36. 4 times 9 times 6t 2t 19 t 3t 13 t 2t 20 t 4t 10 t 5t 8t mes mes mes mes mes mes mes mes mes mes mes are 36. are 36. are 36. are 38. are 38. are 39. are 39. are 40. are 40. are 40. are 40. are 40. are 40. Write number stories about : 10 quarts of oats + 1 peck of oats 4 gallons of milk + 3 pints of milk 12 yards + 4 feet 6 nickels + 9 cents i of 4 weeks i of 21 days 40 pecks of corn — 2 bushels of corn [70] NUMBERS THROUGH 40 20+ i ' = 40 12 X ? = 36 30+ . >=40 19 X ? = 38 32 + ?=40 2 X ? = 38 35 + ?=40 13 X ? = 39 31 + ? = 40 3 X ? = 39 33 + ^ = 40 20 X ? = 40 36 + ?=40 2 X ? = 40 29 + ?=40 10 X ? = 40 19 + ?=38 4 X ? = 40 20 + ? = 38 8 X ? = 40 30 + ^=38 5 X ? = 40 1 = i of 1 = i of 2 = 1 of 3 = 4 = 5 = 6 = 7 = 8 = of of of of of of 9 = 1^ of 10 = I of 32 32 34 35 35 36 36 36 36 36 36 4 8 2 5 7 2 3 4 6 9 12 36 38 38 39 39 40 40 40 40 40 40 18 = 2 = 19 = 3 = 13 = 2 = 4 = 5 = 8 = 10 = 20 = [71] 1 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = ^o( I of I of I of I of iof ^of 4 of 1 = I of 2 = |of 3 = i of NUMBERS THROUGH 40 Kate. Sometimes Uncle Will sells milk to people who live in town. Frank. He fills these pint bottles from the gallon measure. Kate. One gallon measure full of milk will fill pint bottles. Frank. If the gallon measure were just half full it would fill pint bottles. Kate. | of a gallon would fill pint bottles. Frank. And | of a gallon would fill bottle. pint Kate. Uncle Will got 5 gallons of milk this morn- ing. That will fill pint bottles. [72] NUMBERS THROUGH 40 Add: 1 gal. = ?pt. 1 gal. = .?pt. 2 gal. = ?pt. H- gal. = ?pt. 3 gal. = .?pt. 2i gal. = .?pt. 4 gal. = .?pt. 34. gal. = ?pt. 5 gal. = .?pt. 4i gal. = ?pt. 2 gal. - i gal. = ?pt. 2 gal. + i gal. = ?pt. 3 gal. - i gal. = ?pt. 3 gal. + 1 gal. = ?pt. 4 gal. + Igal. = ?pt. 4 gal. - i gal. = ?pt. 5 gal. - i gal. = ?pt. 5 gal. - 1 gal. = ?pt. 6 5 7 8 3 6 8 4 5 3 2 4 4 8 3 2 8 7 7 7 4 5 1 2 3 7 3 4 2 3 5 5 3 8 7 4 6 4 9 4 2 3 5 4 2 2 5 9 1 [73] NUMBERS THROUGH 40 Frank. See what Uncle Will sent me for a birthday present — some real scales with weights! Kate. Now we can weigh things. This weight is marked 16. Frank. That means one pound, because there are 16 ounces in one pound. Kate. Let us weigh something that is just one pound. What can we find.? Frank. Here is the box of candy that Aunt Alice sent me. I will put it on one side of the scales and the pound weight on the other side. Kate. The scales balance. It weighs just one pound. [74] NUMBERS THROUGH 40 Frank. This weight says 8. It means 8 ounces. Kate. That must be one half pound. Frank. I know what we can do. We will weigh one half pound of candy and it will be your part of my birthday gift. Here it is. Kate. Thank you, Frank. Frank. Now I will give half of my part to Mother. That will be ounces. That will be one fourth of a pound. 8 oz. + 8 oz. = ? oz. I lb. = ? oz. 2 X 8 oz. = .? oz. 8x2 oz. = ? lb. 8 oz. + 8 oz. = .? lb. I lb. = .? oz. 2x'8oz. = .Mb. lib.- ?oz. i lb. = .? oz. I lb. = ? oz. 4 X 4 oz. = .? oz. I lb. = .? oz. i lb. = .? oz. 1| lb. = .? oz. -I lb. = ? oz. 11 lb. = ? oz. 8 X 2 oz. = ? oz. 1| lb. = .? oz. i lb. = .? oz. 1| lb. = .? oz. [75] NUMBERS THROUGH 42 Count by 2\s to 42. Count by 3's to 42. Count by 4's to 40. Count by 5's to 40. Count by 6's to 42. Count by 7's to 42. Count by 8's to 40. Count by 14's to 42. In 42 there are sevens. In 42 there are sixes. In 42 there are fourteens. In 42 there are threes. • In 42 there are twenty-ones. In 42 there are twos. In 1 fortnight there are 14 days. In 2 fortnights there are days. In 3 fortnights there are days. Write number stories about: ■^ of 40 feet 40 cents - 25 cents ^ of 40 cents 2 pounds - 4 ounces [76] NUMBERS THROUGH 42 42-2 = 40 - 10 = 41-2 = 42 - 12 = 40 - 20 = 41- 10 = 42 - 10 = 40-6 = 41-4 = 42-8 = 40-4 = 41-7 = 42-5 = 40-8 = 41-9 = 42-4 = 40-3 = 41 - 11 = 42-6 = 40-2 = 41-8 = 42-9 = 40-7 = 41-6 = 42- 7 = 40-5 = 41-3 = 42-3 = 40-9 = 41-5 = 15+5 = 16+6 = 14+7 = 25 + 5 = 26 + 6 = 24+7 = 35+5 = 18 + 6 = 34+7 = 17 + 5 = 28 + 6 = 13+7 = 27 + 5 = 17+6 = 23+7 = 16+5 = 27 + 6 = 33 + 7 = 26+5 = 15+6 = 15+7 = 14+5 = 25+6 = 25+7 = 24 + 5 = 9 + 6 = 35 + 7 = 34+5 = 19+6 = 17+7 = 18+5 = 29+6 = 27+7 = 19 + 5 = 24+6 = [77] 30 + 7 = NUMBERS THROUGH 44 Number Stories Kate is eight years old. Her mother is 4 times as old. How old is her mother.? Frank is 7 years old. His father is 5 times as old. How old is his father.? How long will it be until Frank is 21 years old? How long will it be until Kate is 18.? Uncle Will is four times as old as Frank. How old is he.? How many years older than Frank is Uncle Will .? Kate's little cousin is just one fourth as old as she is. How old is the little cousin .? Add Kate's age, Frank's age, and Uncle Will's age. Add Kate's age and her mother's age. Add Frank's age and his father's age. Add Kate's age and her father's age. [78] NUMBERS THROUGH 44 If nails cost 4 cents a pound, pounds can be bought for 8 cents. pounds can be bought for 16 cents. pounds can be bought for 10 cents. pounds can be bought for 17 cents. If a pound of stick candy costs 16 cents, pound can be bought for 8 cents. pound can be bought for 4 cents. pound can be bought for 12 cents. pound can be bought for 2 cents. 15+15 = i of 30 = 44-4 20 + 20 = i of 36 = 44- 14 22 + 22 = iof32 = 44-24 12 + 12 = iof28 = 44-34 14 + 14 = iof40 = 44- 10 16 + 16 = 4 of 44 - 44 20 11 + 11 = iof24 = 44-30 18+18 = i of 26 = 44-40 10 + 10 = iof20 = 44-7 13+13 = iof42 = 44-9 [79] NUMBERS THROUGH 45 Kate. Let us play store. I will be the storekeeper and weigh things on the new scales. Frank. I will come to buy. Kate. All right. What can I sell you today.? Frank. I want half a pound of butter. How much is it.? Kate. Butter is 40 cents a pound now. ^ of a pound will cost cents. Frank. Then I want half a gallon of vinegar. How much is that ? Kate. Vinegar is 30 cents a gallon. Half a gallon will cost cents. Frank. I want 40 cents' worth of sugar. [80] NUMBERS THROUGH 45 Kate. Sugar is 8 cents a pound. I will give you pounds for 40 cents. Do you want some potatoes ? Frank. Yes, how much are they.? Kate. They are 20 cents a peck. Frank. That is too much. Kate. Well, I will let you have them for 15 cents a peck. Frank. You may send me half a bushel. Kate. That will be cents. If a pound of sugar costs 6 cents, 3i pounds will cost cents. 4 pounds will cost cents. If oranges cost 40 cents a dozen, 6 oranges will cost cents. 3 oranges will cost cents. 15 oranges will cost cents. [81] NUMBERS THROUGH 45 Frank. How nice it is that spring has come. Now we can make our garden. Kate. Yes, I shall make a pansy bed 1 foot long and 1 foot wide. Frank. Then it will be square and will contain 1 square foot. I shall make this bed 1 foot wide but 3 feet long. It will contain square feet. Kate. Oh, no; make it 3 feet wide. Then it will be square and will contain square feet. Frank. Three feet are 1 yard. It will be 1 yard long and 1 yard wide and contain 1 square yard. In 1 square yard there are square feet. [82] NUMBERS THROUGH 45 Kate. Let us make another bed by the hedge. Make it 6 feet long and 3 feet wide. It will con- tain square feet. Frank. It will contain square yards. Kate. If we could make a bed 9 feet long and 4 feet wide, it would contain square feet. Frank. That would be square yards. Kate. Suppose we make one 8 feet long and 5 feet wide. It will contain square feet. Frank. Let us spade all the space on this side of the walk and then divide it into small beds. Kate. I will measure the space. It is 9 feet long and 5 feet wide. Frank. Then we shall spade square feet. Kate. That will be square yards. 2x20 = 3x 9=F 3x11 2x15 = 3x 8 = 3x 6 2x12 = 3x12 = 3x 5 2x10 = 3x10 = [83] 3x 7 NUMBERS THROUGH 45 Draw a square yard on the floor. Divide it into square feet. How many square feet in a square yard ? Draw an oblong 9 feet long and 3 feet wide. Divide it into square feet. How many square feet does it contain .? How many square yards .? 1 sq. yd. 2 sq. yd. 3 sq. yd. 4 sq. yd. 5 sq. yd. ? sq. ft. ? sq. ft. .? sq. ft. .? sq. ft. = ? sq. ft. i of 9 sq. ft. = ? sq. ft. T sq. yd. = .? sq. ft. I of 9 sq. ft. = .? sq. ft. I sq. yd. = .? sq. ft. I of 9 sq. yd. = ? sq. ft. 3 tens and 3 units are 4 tens and units are 42 3 tens and 9 units are 2 tens and 8 units are 3 tens and units are 37 4 tens and units are 45 [84] NUMBERS THROUGH 45 Add: 9 8 7 8 6 5 6 9 8 6 8 8 5 5 9 6 7 8 6 6 6 4 6 6 9 4 4 5 3 5 8 5 9 6 6 9 4 2 7 7 7 9 8 8 7 9 7 9 8 2 8 5 7 7 9 8 9 4 7 4 8 9 8 3 7 5 2 6 9 8 5 3 4 5 4 5 8 4 2 3 4 3 4 4 5 6 7 7 9 8 9 7 6 8 4 5 2 8 9 7 6 3 8 7 5 6 8 9 7 4 3 4 4 6 7 3 3 5 3 3 8 5 9 3 5 2 2 7 4 8 7 4 7 3 4 2 4 [85] 5 6 4 NUMBERS THROUGH 46 40 pt. = r 'qt. 45 c. = ? nickels. 42 pt. = i 'qt. 46 c. = ? nickels. 44 pt. = r qt. 35 da. = ?wk. 46 pt. = i 'qt. 42 da. = .?wk. 36 ft. = i 'yd. 45 da. = ?wk. 39 ft. = ?yd. 46 da. = ?wk. 42 ft. = ; 'yd. 32 pt. = ? gal. 45 ft. = : 'yd. 40 pt. = ? gal. 46 ft. = i 'yd. 44 pt. = ? gal. 40 qt. = : 'gal. 45 pt. = ? gal. 42 qt. = i 'gal. 46 pt. = ? gal. 44 qt. = ; 'gal. 36 sq. ft. = ? sq. yd. 46 qt. = ! 'gal. 45 sq. ft. = ? sq. yd. 40 c. = i ' nickels. 46 sq. ft. = ? sq. yd. 16+5 = 18+6 = 16+7 = 26 + 5 = 28 + 6 = 26+7 = 36+5 = 38 + 6 = 36+7 = 15+5 = 17 + 6 = 17 + 7 = 25+5 = 27 + 6 = 27+7 = 35+5 = 37+6 = 37+7 = 14 + 5 = 34 + 6 = [86] 30+7 = NUMBERS THROUGH 46 43- 7 = 44 6 = 33+ ; ' = 43 43- 9 = 44- 8 = 36+ i ' = 43 43- 10 = 44 10 = 38+ i ' = 43 43- 20 = 44- 20 = 30+ 1 = 43 43- 13 = 44- 14 = 35 + ^ = 43 43- 8 = 44 9 = 37+ . ^ = 43 43- 4 = 44- 7 = 38+ : ' = 44 43- 6 = 44- 5 = 37+ : ' = 44 43- 2 = 44- 3 = 40+ i '-44 43- 3 = 44- 2 = 36+ . ?-44 43- 5 = 44- 4 = 34 + >-U 45- 10 = 46- 10 = 35+ . ^=45 45- 20 = 46- 20 = 38+ . ^ = 45 45- 15 = 46- 16 = 34+ i ' = 45 45- 3 = 46- 2 = 32+ ; '=45 45- 5 = 46- 4 = 36+ : ' = 45 45- 7 = 46- 6 = 37+ . ^ = 45 45- 9 = 46- 8 = 38+ : ' = 46 45- 8 = 46- 9 = 39+ . ? = 46 45- 6 = 46- 7 = 40+ . ' = 46 45- 4 = 46- 5 = 37+ : ' = 46 45- 2- 46- 3 = 35+ i ' = 46 [87] NUMBERS THROUGH 48 Number Stories The rug in Kate's room is 10 feet long and 8 feet wide. How many feet is it around it ? The rug in the dining room is 12 feet long and 8 feet wide. How many feet is it around it? Frank's brother works for H dollars a day. How much will he receive in 2 days? In 3 days? Frank has a rope 45 feet long. He wishes to cut it into pieces each 9 feet long. Into how many pieces can he cut it? When lemons are Worth 30 cents a dozen, how many lemons can be bought for 45 cents ? A milkman had 4 gallons of milk. He sold 3i gallons. He had quarts left. If a quart of vinegar can be bought for 5 cents, ^ gallon will cost cents. Kate had 7 yards of ribbon. She cut it into two equal parts. In each part there were yards. Frank paid 20 cents for ^ dozen oranges. A dozen oranges' would cost cents. [88] NUMBERS THROUGH 48 10+10+10 = lofSO 12 + 12 + 12 = |of30 15+15+15 = iof36 11 + 11 + 11 = f of36 9+ 9+ 9 = 4 of 33 8+ 8+ 8 = |of33 13 + 13 + 13 = |of27 7+ 7+ 7 = |of27 The multiplication table of fours : 4x1=4 4x 7 = 28 4x2=8 4x8 = 32 4x3= 12 4x9 = 36 4 X 4 = 16 4 X 10 = 40 4x5 = 20 4x11 = 44 4 X 6 = 24 4 X 12 = 48 36 H- 3 = 36 + 4 = 16 + 4 30 H- 3 = 44 + 4 = 12 + 4 27 H- 3 = 48 + 4 = 20 + 4 33 + 3 = 40 + 4 = 28 + 4 24 + 3 = 24 + 4 = 32 + 4 [89] NUMBERS THROUGH 48 Mother. This picture is very pretty. Let me show you how to mount it. Kate. I have a cardboard here that is 8 inches long and 6 inches wide. Mother. That will be just right. I will measure 1 inch from the corner on the short side and draw a line parallel with the long side. I have made an oblong 6 inches long and 1 inch wide. It contains 6 square inches. Frank. You have made a big oblong, too. It is 6 inches long and 5 inches wide. It contains square inches. Mother. I will draw a line 1 inch from the oppo- site side. These two narrow oblongs contain square inches. [90] NUMBERS THROUGH 48 Kate. You have left an oblong in the middle. It is 8 inches long and 4 inches wide. It contains square inches. Mother. I will measure 1 inch from the corner on the long side and draw a line parallel with the short side. I have made 2 one inch squares and an oblong 4 inches long and 1 inch wide. The oblong contains square inches. Kate. You still have left a large oblong. It is 7 inches long and 4 inches wide. It contains square inches. Mother. I draw a line an inch from the other short side. I now have 4 one inch squares and 5 oblongs. Kate. The oblong in the middle is 6 inches long . and 4 inches wide. It contains square inches. Mother. The 4 squares in the corners together contain square inches. Kate. The 4 narrow oblongs together contain square inches. [91] NUMBERS THROUGH 48 Frank. The 4 narrow oblongs and the 4 squares together contain square inches. Mother. We will mount this picture on the middle oblong. It just covers it. It covers square inches of surface. Frank. It leaves a border of square inches. Kate. The cardboard itself contains square inches. Draw an oblong 4 inches long and 3 inches wide. How many square inches does it contain ? Divide it into 2 equal parts. How many square inches are there in each part ? Draw an oblong 5 inches long and 4 inches wide. How many square inches does it contain ? Divide it into two equal parts. How many square inches are there in each .? Divide each half into 2 equal parts. How many square inches are there in each of these parts ? Each of these parts is what part of the oblong } [92] NUMBERS THROUGH 48 iof s20. s24. s22. sl8. s 12. s9. s7. s4. » of iof iof - is 5. - is 8. - is 6. - is 5. - is 6. i of is 5. r 1 T 1 T Iof Iof 1 T 1 T 1 T iof is 6. is 4. Make number stories about: A flower bed 6 feet long and 3 feet wide A rug 5 feet long and feet wide A mirror 3 feet long and feet wide Add: 9 8 9 9 8 6 7 4 8 6 6 7 6 6 7 6 7 5 3 6 7 3 4 5 4 6 6 6 9 3 2 8 4 6 7 2 5 4 2 9 6 6 5 5 9 8 5 5 7 [93] NUMBERS THROUGH 48 In 48 there are two In 48 there are three In 48 there are four In 48 there are six In 48 there are eight In 48 there are twelve In 48 there are sixteen In 48 there are twenty-four In 45 there are three - In 45 there are five — In 45 there are nine — In 45 there are fifteen In 44 there are two In 44 there are four In 44 there are eleven In 44 there are twenty-two In 42 there are two In 42 there are three In 42 there are six — In 42 there are seven C94] NUMBERS THROUGH 48 48- h 2 = 44- ■r 4 = 48- 8 48- r 3 = 44- h 11 = 48- 12 48- i- 4 = 44- 1-22 = 48- 10 48- 1- 6 = 42- h 2 = 48- 9 48- H 8 = 42- h 3 = 48- 5 48- h 12 = 42- h 6 = 48- 4 48- 5- 16 = 42- f- 7 = 48- 6 48- -24 = 42- - 14 = 48- 7 45- ■- 3 = 42. -21 = 48- 2 45- - 5 = 40- - 2 = 48- 3 45- - 9 = 40- - 4 = 48- 11 45. - 15 = 40 H -10 = 48- 13 44. - 2 = 40- - 5 = 48- 15 Write the multiplication table of twos. Write the multiplication table of threes. 3x11 = 2x11 = 2x17 3x12 = 2x 12 = 2x18 3x13 = 2x13 = 2x19 3x14 = 2x14 = 2x20 3x15 = 2x15 = 2x21 3x16 = 2x16 = [95] 2x22 NUMBERS THROUGH 50 Frank. Mother says that we may open our banks and count our money. Kate. I think you have more than I have. I have a quarter and two nickels and three cents. I have cents. Frank. I have three dimes and two nickels and four cents. I have cents. Kate. I should have forty cents if I had cents more. Frank. I should have fifty cents if I had more. cents Kate. I am going to take ten cents to buy a little bed for my doll. Ten cents taken from thirty- eight cents leaves cents. [96] NUMBERS THROUGH 50 Frank. I want a new top. I can get a good one for ten cents. If I take ten cents from forty- four cents I shall have cents left. 4 nickels and 4 cents are — 6 nickels and 9 cents are - 2 dimes and 2 nickels are 3 dimes and 6 cents are — 4 dimes and 9 cents are — 1 quarter and 1 nickel are — 1 quarter and 3 nickels are 1 quarter and 2 dimes are — cents, cents. — cents, cents, cents. — cents. — cents. cents. 1 quarter and 1 dime and 2 cents are cents. 3 dimes and 2 nickels and 1 cent are cents. 2 dimes and 3 nickels and 3 cents are cents. 4 dimes and 1 nickel and 4 cents are cents. 50 - 10 = 50 -- 20 = 50 - 40 = 50-5 = 50 - 15 = 50 - 25 = 16+ 4+10 23 + 10 + 3 32+ 5+ 5 30 + 9+10 25 + 5+10 35+10+ 5 [97] NUMBERS THROUGH 50 Frank. I have put all of my money back into my bank except one dime. Kate. I have put all of mine back except ten cents. Frank. One dime is the same as ten cents. Kate. Let us put the cents into 2 equal groups. Frank. In each group there will be cents. I of a dime is cents. Kate. Now we will put them into 5 equal groups. In each group there will be cents. Frank. Then | of a dime is cents and f of a dime are cents. Kate. Yes, and | of a dime are cents, and 4 of a dime are cents. [98] NUMBERS THROUGH 50 ^ Frank. If each cent is by itself, the dime will be divided into ten parts. Kate. Then each part will be yV of a dime. i dime = .? c. I dime = ? c. I dime = .? c. I dime = .? c. yV dime = ? c. yV dime = .? c. H dimes = .? c. 2y dimes = .? c. 2f dimes = ? c. 3iV dimes = .? c. 3i dimes = ? c. 44 dimes = ? c. 49 cents = 49 cents = 47 cents = 47 cents = 44 cents = 44 cents = 39 cents = 39 cents = 39 cents = 38 cents = 50 cents = 46 cents = dimes + .? cents. nickels + .? cents. quarters + ? cents. quarters + ? dimes + .? cents. dimes + ? cents. nickels + .? cents. dimes + ? cents. dimes + ? nickels + ? cents. quarters + ? dimes + ? cents. dimes + ? nickels + f cents, quarters. f dimes + ? cents. [99] NUMBERS THROUGH 50 Begin with 1 and count by 2's to 49. Begin with 1 and count by 3's to 49. Begin with 1 and count by 4/s to 49. Begin with 1 and count by 5's to 46. Begin with 1 and count by 6's to 49. Count backward by 2's from 50. Count backward by 3's from 50. Count backward by 4's from 50. Count backward by 5's from 50. Count backward by 6's from 50. Draw a line H inches long. Draw another line 4 times as long. How long is this line? Draw a line 31 inches long. Draw another line 2 times as long. How long is it.? Draw a line 6 inches long. Draw a line 2^ times as long. How long is it.? Draw a line 9 inches long. Draw a line 1| times as long. How long is it .? Draw a line 10 inches long. Draw a line 1^ times as long. How long is it.? [100] NUMBERS THROUGH 50 2x15 = 4x 6 = 9x3 2x25 = 4x 11 = 9x5 2x19 = 4x 12 = 9x4 2x16 = 4x 10 = 10x2 2x14 = 4x 8 = 10x4 2x13 = 4x 7 = 10x5 2x20 = 5x 6 = 10x3 2x12 = 5x 8 = 11x3 2x 18 = 5x 10 = 11x2 2x17 = 5x 9 = 11x4 2x21 = 5x 7 = 12x3 2x23 = 6x 8 = 12x2 3x 9 = 6x 6 = 12x4 3x10 = 6x 5 = 13x3 3x16 = 6x 7 = 13x2 3x14 = 7x 7 = 14x2 3x13 = 7x 5 = 14x3 3x15 = 7x 6 = 15x3 3x12 = 8x 4 = 15x2 3x11 = 8x 5 = 16x2 3x 8 = 8x 6 = 16x3 [101] NUMBERS THROUGH 50 i~^ V Frank. My birthday is next Saturday and Mother says that I may have a party and may invite 16 children. Kate. Let us plan what we shall have to eat. Frank. I want ice cream. Kate. Yes. We shall need a gallon. That is quarts. Mother will make it for us, so we shall not have to buy it. Frank. Let us buy some little cakes. Kate. They are 20 cents a dozen. We shall need li dozen. That will cost cents. Frank. Everybody likes oranges. Let us have some. [102] NUMBERS THROUGH 50 Kate. Oranges are 30 cents a dozen. 1^ dozen will cost cents. Frank. I want some nuts, too. Kate. We can get some for 20 cents a pound. Two pounds will cost cents. Frank. We must not forget the candy. Kate. I like good stick candy. That is 25 cents a pound. Two pounds will cost cents. 1 pound of candy cost 30 cents. 4 pound cost cents. H pounds cost cents. 1 dozen bananas cost 20 cents. I dozen bananas cost cents. H dozen bananas cost cents. 1 pound of butter cost 40 cents. i pound cost cents. ^ pound cost cents. 1 pie cost 20 cents. Y pie cost cents. I pie cost cents. [103] NUMBERS THROUGH 52 Kate. Frank, can you add 23 and 22? Frank. I don't think I can. That is not very easy. Kate. I will show you how. Write it on the board, so: 23 22 — . See where I write it? 3 and 2 are - The numbers in the next column are tens. 2 tens and 2 tens are tens. I will put the 4 in the tens column. The answer is . Frank. I think I can add now. Kate. Add 32 and 20. Frank. I will write it on the board. 2 and are . 3 tens and 2 tens are tens. The answer is [104] NUMBERS THROUGH 52 Add: 31 24 15 16 14 21 12 32 23 15 34 28 16 31 25 11 21 32 15 21 12 23 13 24 17 25 13 21 14 22 12 13 14 21 25 12 13 12 12 12 12 13 13 15 , 12 Write number stories about: 24 miles +15 miles 16 bushels + 22 bushels 15 feet and 23 feet 32 dollars and 10 dollars 20 inches and 30 inches 14 gallons and 21 gallons [105] NUMBERS THROUGH 52 — TWELFTHS Kate. I have a strip of paper here that is just one foot long. Frank. Then it is inches long. Kate. If I fold it into two equal parts, each part will be — ^ inches long. One half of a foot is inches. Frank. Fold it into three equal parts. Kate. Then each part will be inches long. Frank. One third of a foot is inches. Two thirds of a foot are inches. Kate. Now I am going to fold it into four parts. Each part is now inches long. [106] NUMBERS THROUGH 52 Frank. One fourth of a foot is inches. Two fourths are inches, and three fourths are inches. Kate. Two fourths of a foot is just the same as of a foot. 6 in. + 6 in. = .? in. 2 X 6 in. = .? in. i ft. = ? in. 4 in. + 4 in. + 4 in. = .? in. 3 X 4 in. = .? in. i ft. = ? in. t ft. = ? in. 3 in. + 3 in. + 3 in. + 3 in. = ? in. 4 X 3 in. = .? in. I ft. = ? in. 1 ft. = ? in. 2 in. + 2 in. + 2 in. + 2 in. + 2 in. + 2 in. = .? in. 6 X 2 in. = ? in. tV ft. = ?in. 1 ft. = .? in. A ft. = .? in. i ft. = .? in. -n ft. = .? in. [107] NUMBERS THROUGH 54 Mother. Frank is growing so fast that he will soon be as tall as you, Kate. Kate. Let us measure and see how tall we are. Mother. Stand here against the wall. I will place a mark over your head. Kate. Now I can measure to the mark*. I am 4 feet and 3 inches tall. I am inches tall. Frank. Now it is my turn, Mother. Mother. I will put a mark over your head. Frank. Let me take the measure. I am 3 feet and 11 inches tall. I am inches tall. Kate. I am inches taller than you are. Frank. Brother is 5 feet tall. He is inches taller than I am. Kate. Father is 6 feet and 1 inch tall. He is foot and inch taller than Brother. [108] NUMBERS THROUGH 54 U ft. + 2 in. = ? in. U ft. + 3 in. = ? in. 1| ft. + 6 in. = .? in. 1| ft. + 4 in. = .? in. ItV ft. + 10 in. = .? in. 2i ft. - 4 in. = ? in. 3 ft. — 5 in. = ? in. 3 ft. - 10 in. = .? in. 4| ft. - 2 in. = ? in. 4| ft. - 6 in. = ? in. 51-11= 52-12= 25 + 25 51 - 10 = 52 - 10 = 20 + 20 51-5= 52-11= 30+10 51 - 15 = 52 - 4 = 40+10 51 - 6 = 52 - 14 = 30+15 51 - 16 = 52 - 6 = 24+12 51 - 8 = 52 - 16 = 15+10 51 - 18 = 52 - 3 = 15 + 20 51 - 4 = 52 - 13 = 15+15 51 - 14 = 52 - 7 = 30 + 20 51-21= 52-20= 32+10 51 - 20 = 52 - 8 = 30 + 24 [109] NUMBERS THROUGH 54 Here are some number stories: Kate used an ounce of coffee to make 2 cups of coffee. How many cups could she make from a pound of coffee? Frank wished to make a frame for a picture that was 2 feet long and H feet wide. How piany feet was it around the picture? If he allowed one foot extra for the corners, what did the molding cost him at 6 cents a foot? Frank and his cousin picked the cherries on one of Uncle Will's trees in 27 minutes. How long would it have taken 1 boy to do it alone ? Kate has in her bank 1 quarter, 2 dimes, a nickel, and 3 cents. How much money has she? [110] NUMBERS THROUGH 54 One of Uncle Will's cows eats 2 quarts of meal a day. How long will it take her to eat 3 pecks ? If corn grows 2 inches in a day, how many inches will it grow in 1 week ? How many inches will it grow in 3 weeks ? Frank had 50 cents. He spent f of it for a new book. How much did the book cost.^ How much money did Frank have left ? Uncle Will put 12 gallons of cider in a barrel. He took out 3^ gallons. How many gallons remained .? He sold 1 gallon of cider for 10 cents a quart. How much money did he receive ? Frank's father divided 50 cents equally between the two children. How much did each receive ? Uncle Will's wife bought 5 yards of gingham ar 10 cents a yard. She paid for it with eggs at 20 cents a dozen. How many dozen eggs did she give.? There were 8| bushels of potatoes in a bin. Frank took out 3 pecks. How many pecks re- mained ? [Ill] NUMBERS THROUGH 54 50 pt. = ? qt. 42 da. = ? wk. 52 pt. = .? qt. 49 da. = .? wk. 54 pt. = .? qt. 54 da. = f wk. 45 ft. = ? yd. 40 qt. = .? pk. 51 ft. = .? yd. 48 qt. = ? pk. 54 ft. = .? yd. 54 qt. = .? pk. 52 qt. = ? gal. 45 sq. ft. = ? sq. yd. 54 qt. = ? gal. 54 sq. ft. = ? sq. yd. 50 c. = .? nickels. 50 c. = ? dimes. 54 c. = .? nickels. 54 c. = .? dimes. 53-5 = 54- 8 = 20 + .? = 40 53-3 = 54- 6 = 30 + ? = 50 53-2 = 54- 4 = 25 + ? = 50 53-4 = 54- 3 = 15 + ? = 30 53-6 = 54- 5 = 40 + .? = 50 53-8 = 54- 7 = 30 + ? = 45 53 - 10 = 54- 9 = 20 + .? = 50 53 - 12 = 54- 12 = 10 + .? = 50 [112] NUMBERS THROUGH 54 Add; 4 6 8 9 7 5 6 8 2 9 6 5 4 3 6 5 1 4 2 3 5 5 7 8 9 2 2 8 5 3 2 1 6 8 4 9 8 6 9 3 4 2 1 8 4 2 5 7 2 8 4 6 2 9 6 3 5 9 7 6 5 7 2 5 9 7 6 5 4 9 4 9 7 6 5 2 8 6 3 7 6 6 3 9 5 3 3 5 6 5 9 7 3 5 4 6 8 8 8 5 8 5 4 2 4 8 2 2 4 4 4 2 6 4 3 6 .8 3 5 Make number stories about : 50 feet - 25 feet 20 square feet + 30 square feet 50 cents - 20 cents 6 weeks + 2 days [113] NUMBERS THROUGH 56 Kate. I learned something new at school today. Frank. What was it ? Kate. I learned how to subtract big numbers. Frank. Is it very hard? Kate. No. Let me show you how. I am going to subtract 25 from 49. See how I write them? 49 25 24 5 from 9 leaves 4. 2 tens from 4 tens leaves 2 tens. The answer is . Frank. I do not think that is any harder than add- ing. Give me some numbers to subtract. [114] NUMBERS THROUGH 56 Subtract: 49 47 48 46 45 49 37 21 37 21 35 28 44 39 38 34 36 37 24 15 16 12 21 27 29 37 42 45 55 48 17 22 12 24 30 24 56 56 56 56 56 56 24 35 44 23 42 32 9+ 8+5- 4= 6 + 3 + 8-2 6+7-3+2= 7 + 9 + 9-6 8+ 8-4+10= 8 + 4+3 + 6 6+9 + 9-8= 12-5+7 + 4 8+ 9+7- 6= 9 + 4-6-2 7+ 6-5+ 9= 15-6 + 8+9 7+ 9-4+ 8= 17-9 + 7 + 6 12+12-5+ 4= 19-8 + 5 + 7 [115] NUMBERS THROUGH 58 Here are some number stories about Uncle Will's farm: Uncle Will has a fine orchard. There are 20 peach trees, 12 pear trees, and 26 apple trees. How many trees are in the orchard ? He has 55 sheep. 42 of them are white. How many black sheep has he ? Kate and Frank set 3 hens. One hen hatched 12 chicks, one hatched 11, and one hatched 15. How many little chickens were hatched ? Uncle Will raised 48 bushels of corn on one acre of ground. He put it into 2 bins. If he put 22 bushels into one bin, how much did he put into the other ? [116] NUMBERS THROUGH 58 Frank and Kate counted the little pigs. There were 14 in one pen, 20 in another, and 15 in another. How many little pigs were there ? Uncle Will picked 48 bushels of apples. He sold 32 bushels. How many bushels did he keep ? Uncle Will sent Kate's mother 3 turkeys. One weighed 12 pounds, one 14 pounds, and one 11 pounds. How much did they all weigh.? Add 25 to each of these numbers: 24 14 33 22 32 21 Add r4 to each of these nunibers: 42 33 34 24 23 35 Add 22 to each of these numbers: 36 34 35 31 25 32 Subtract 20 from each of these numbers: 58 56 52 54 49 47 Subtract 24 from each of these numbers: 58 48 38 57 47 55 [117] NUMBERS THROUGH 60 101 qt. + m qt. = ? pt. 15 qt. + 51 qt. = ? pt. 20 qt. + 2iqt. = .? pt. 25 qt. — 31 qt. = } pt. 30 qt. — 41 qt. = ? pt. 10 yd. + 3i yd. = ? ft. 12 yd. + 2Jyd. = ?ft. 15 yd. — Uyd. = ? ft. 20 yd. — 4iyd. = ? ft. 5 gal. + 21 gal. = ?qt. 10 gal. + 3i gal. = ?qt. 12 gal. — U gal. = ?qt. 5 nickels + 2| nickels = ?c. 10 nickels 1 — 12 cents = U. 4 weeks + 8 days = ?da 7 weeks — 12 days = ?da 4 gal. + U gal. = ? pt. 5 gal. — U gal. = ? pt. 2| dimes + 2| dimes = ?c. 6 dimes — 3i dimes = ?c. 3 ft. + Ift. = ? in. 2 ft. + 4 ft. = ? in. [118] NUMBERS THROUGH 60 iof40 = 1 of 40 = 57- 10- 4 4 of 50 = i of 36 = 57- 6- 3 i of 52 = 1 of 32 = 57- 5- 4 iof48 = i of 44 = 57- 7- 10 iof44 = iof48 = 57- 7- 7 iof42 = 1 of 56 = 58- 6- 10 i of 60 = 1 of 52 = 58- 8- 9 4 of 38 = |of28 = 58- 8- 10 iof36 = 4^ of 24 = 58- 9- 9 iof46 = |of60 = 58- 10- 10 i of 30 = 1 of 15 = 59- 9- 10 iof36 = ^of40 = 59- 10- 10 iof42 = 4 of 30 = 59- 8- 5 iof48 = |of40 = 59- 5- 8 |of51 = i of 50 = 59- 6- 6 1 of 54 = 1 of 55 = 60- 10- 20 |of60 = |of45 = 60- 10- 6 iof33 = iof35 = 60- 8- 8 iof45 = i of 25 = 60- 9- 5 1 of 39 = ^ of 60 = 60- 20- 20 iof27 = 1 of 20 = 60- 40- 10 [119] NUMBERS THROUGH 60 Add: 25 24 34 26 32 34 24 22 33 17 23 21 32 22 24 23 12 14 22 25 12 25 12 12 10 13 24 13 23 21 14 22 22 22 22 22 13 13 13 23 Subtract: 59 48 48 47 56 14 24 16 25 34 58 55 57 45 46 25 25 36 25 36 47 44 49 39 38 26 32 21 17 21 [120] NUMBERS THROUGH 60 25 qt. = .?pt. 12 nickels = ?c. 26 qt. = .?pt. 60 c. ? nickels 27 qt. = ?pt. 5 wk. = ?da. 28 qt. = ?pt. 6 wk. = .?da. 29 qt. = .?pt. 7wk. .?da. 30 qt. = ?pt. 8wk. = .?da. 60 pt. = ?qt. 60 da. .?wk. 15 yd. = ?ft. 5 gal. = ?pt. 16 yd. = ?ft. 6 gal. ?pt. 17 yd. = ?ft. 7 gal. = ?pt. 18 yd. = ?ft. 60 pt. ?gal. 19 yd. = .?ft. 5 sq. yd. = ? sq. ft. 20 yd. ^ ?ft. 6 sq. yd. = ? sq. ft. 12 gal. = .?qt. 60 sq. ft. = .? sq. yd. 13 gal. = i qt. 5 dimes = ?c. 14 gal. = ?qt. 6 dimes = ?c. 15 gal. = .?qt. 60 c. ? dimes. 60 qt. = ? gal. 4 ft. ?in. 9 nickels = ?c. 3 ft. .?in. 10 nickels = ?c. 5 ft. Pin. 11 nickels s ?c. 60 in. ?ft. [121] NUMBERS THROUGH 60 Kate. O Frank, see my pretty little clock! It strikes every hour. Frank. Do you know how many minutes in an hour.? Kate. Of course! I knew that a year ago. There are 60 minutes in an hour. I can dress in \ hour. That is minutes. Frank. I played ball last evening for ^ of an hour. That was minutes. Kate. I practised my music lesson for | of an hour. That was minutes. Frank. It will take the minute hand of the clock 20 minutes to go from the figure 12 to the figure 4. [122] NUMBERS THROUGH 60 Kate. It will take it minutes to go from the figure 4 to the figure 8. Frank. It will take it 20 minutes to go from the figure 8 to the figure . ^ of an hour is minutes. Kate. There are 12 five-minute spaces on the face of the clock. minutes are yV of an hour. Frank. yV of an hour will be minutes, and Vr of an hour will be minutes. ^V of an hour is the same as of an hour. 1 hr. = ? min. 30 min. = ? hr. \ hr. = .? min. 15 min. = ? hr. ^ hr. = ? min. 45 min. = ? hr. I hr. = ? min. 10 min. = ? hr. I hr. = ? min. 5 min. = .? hr. tV hr. = ? min. 35 min. = ? hr. Write number stories about: ^ hour + I hour i hour - 10 minutes I hour + 10 minutes 1 hour - 20 minutes 1 hour - 4 hour | hour - ^ hour [123] NUMBERS THROUGH 60 Frank and Kate made a clock out of stiff paper. They put on the hands with pins. Then they played "What time is it?" Where did Frank put the minute hand to show 15 minutes after 9? 10 minutes after 9? Half past nine ? A quarter to ten ? Where did Kate put the hands to show that it was 3 o'clock? 5 minutes after 3? 20 minutes after 3 ? 25 minutes to 4 ? 5 minutes to 4 ? Can you tell the time on each of these clocks ? [124] NUMBERS THROUGH 60 Make a clock face and show the time for each of these number stories: Frank got up at 10 minutes after 7. He was ready for breakfast in 20 minutes. What time was it ? He finished breakfast at 8 o'clock and worked in his garden 25 minutes. What time was it ? He started for school at half past 8. It took him 15 minutes to walk to school. What time did he reach there? School began at 9 o'clock. The children sang for 20 minutes. What time was it then ? Then Frank studied his reading lesson for 15 minutes. Show what time it was when he finished. The children went out for recess at half past 10. They played for 15 minutes. What time was it? At 11 o'clock Frank began writing some number stories. He worked for 15 minutes. Show what time it was. Show what time the children went home for lunch. They came back one hour later. What time was it ? [125] NUMBERS THROUGH 60 i hr. + 10 min. = ? min. ^ hr. + 15 min. = ? min. i hr. + 1 hr. = ? min. 1 hr. + I hr. = .? min. I hr. + tV hr. = ? min. 4 hr. — 4^ hr. = f min. I hr. - 10 min. = ? min. \ hr. — 20 min. = ? min. I hr. - tV hr. = ? min. 1 hr. — I hr. = i min. 2 quarters + 8 cents = ? cents. 1 quarter + 4 nickels = ? cents. 1 quarter + 3 dimes = ? cents. 2 quarters + 1 nickel = f cents. 3 dimes + f nickels = 50 cents. 1 quarter + ? nickels = 50 cents. 4 dimes + i cents = 60 cents. 3 dimes + ? nickels = 60 cents. 1 half-dollar + ? nickels = 60 cents. 2 quarters + ? cents = 60 cents. 1 quarter + ? nickels = 60 cents. 2 quarters + ? nickels = 60 cents. [126] NUMBERS THROUGH 60 The multiplication table of fives : 5x1=5 5x 7=35 5x2=10 5x 8=40 5x3=15 5x 9=45 5x4=20 5x10=50 5x5=25 5x11=55 5x6=30 5x12=60 Write the multiplication tables of twos, threes, and fours. 60- - 2 = 50- - 2 = 2x2x2 60- r 3 = 50- ■- 5 = 2x3x3 60- - 4 = 50- - 10 = 3x3x3 60- - 5 = 49- - 7 = 3x4x3 60- - 6 = 48 H - 6 = 3x3x5 60- - 10 = 48- i- 8 = 2x4x4 60- - 12 = 48- ■- 4 = 4x2x5 56- r 8 = 48- - 12 = 2x5x5 56- 1- 7 = 45- - 5 = 5x2x6 54- - 6 = 45. - 9 = 6x2x5 54 ■^ 9 = 44- - 11 = 3x4x2 50- -10 = 40- - 4 = [127] 3x5x2 NUMBERS THROUGH 60 4 tens and 2 units are 3 tens and units are 35 5 tens and 5 units are 4 tens and 8 units are 5 tens and 4 units are 6 tens are . Count by 3's from 2 to 59. Count by 4's from 3 to 59. Count by 5's from 4 to 59. Count backward by 2's from 59. Count backward by 3's from 59. Count backward by 4's from 59. Count backward by 5's from 59. Count backward by 6's from 59. Count backward by lO's from 59. 60 = 2 X ? 60 = 15 X ? 60 = 30 X ? 60 = 5 X ? 60 = 3 X ? 60 = 12 X ? 60 = 20 X ? 60 = 6 X ? 60 = 4 X ? 60 = 10 X ? [128] NUMBERS THROUGH 70 Add: 2 1 3 5 6 7 4 b 2 8 4 3 4 9 5 8 7 5 4 6 5 8 5 9 8 1 1 8 4 4 9 9 6 3 2 Write the answers of these examples. How many units are there in each answer? How many tens are there in each answer? Add: 35 25 15 45 35 15 35 25 45 25 15 25 22 43 52 24 23 37 28 17 28 46 27 33 42 26 33 48 28 36 29 35 38 13 44 26 15 16 17 18 19 15 15 16 17 18 19 25 15 16 17 18 19 25 [129] NUMBERS THROUGH 84 The multiplication table of sevens : 7x1=7 7x7 = 49 7x2= 14 7x8 = 56 7x3 = 21 7x9 = 63 7 X 4 = 28 7 X 10 = 70 7 X 5 = 35 7 X 11 = 77 7x6 = 42 7x12 = 84 Write the multiplication tables of fours, fives, and sixes. 14^7 = 5x i ' = 35 6x i ' = 54 77 H- 7 = 7x i ' = 35 5x i ' = 55 28^7 = 6x i ' = 36 7x i ' = 56 42^ 7 = 5x i ' = 40 5x i ' = 60 63-4-7 = 7x i ' = 42 6x i ' = 60 84 H- 7 = 6x i ' = 42 7x i ' = 63 70-1-7 = 4 x i '-44 6x : ' = 66 56-^7 = 5 X ; ' = 45 7x : ' = 70 49 H- 7 = 6x i ' = 48 6x : > = 72 35^-7 = 4 X i ' = 48 7x : ' = 77 21 -5- 7 = . 5 X i C ' = 50 132] 7x . ' = 84 NUMBERS THROUGH 96 The multiplication table of eights : 8x1=8 8x7 = 56 8x2 = 16 8x8 = 64 8x3 = 24 8x9 = 72 8 X 4 = 32 8 X 10 = 80 8 X 5 = 40 8 X 11 = 88 8 X 6 = 48 8 X 12 = 96 Write the multiplication tables of fives, sixes, and sevens. 16-5-8 = |of24 = 76-8 32^8 = i of 64 = 96-8 48 ^ 8 = i of 72 = 86-8 96^-8 = i of 80 = 66-8 88^8 = i of 96 = 56-7 24^-8 = i of 88 = 96-7 40-5-8 = i of 56 = 66- 10 56^-8 = 4 of 16 = 96- 10 72 H- 8 = i of 32 = 56-6 64-^8 = i of 40 = 96-6 80 4-8 = i of 48 = [133] 96- 12 NUMBERS THROUGH 100 Count by 4's to 100. Count by 5's to 100. Count by lO's to 100. Count by 3's from 1 to 100. Count by 6's from 4 to 100. Count by 7's from 2 to 100. Count backward by lO's from 100. Count backward by 2's from 99. Count backward by 3's from 99. Add: 47 54 62 45 36 28 23 48 29 26 47 34 33 24 37 48 24 32 34 35 21 22 24 32 33 41 22 16 26 36 25 32 33 15 15 22 25 24 12 25 26 22 25 22 24 15 36 22 25 12 22 25 16 22 [134] NUMBERS THROUGH 108 The multiplication table of nines: 9x1=9 9x 7= 63 9 X 2 = 18 9x 8= 72 9 X 3 = 27 9x 9= 81 9 X 4 = 36 9 X 10 = 90 9 X 5 = 45 9 X 11 = 99 9 X 6 = 54 9 X 12 = 108 Write the multiplication tables of sixes, sevens, and eights. 18 H- 9 = 6 X ? = 54 92 + ? = 100 72 ^ 9 = 7 X ? = 56 88 + ? = 100 27 H- 9 = 6 X ? = 60 91 + ? = 100 81 ^ 9 = 5 X ? = 60 98 + ? = 100 36 H- 9 = 7 X ? = 63 87 + ? = 100 90 ^ 9 = 9 X ? = 63 93 + ? = 100 108 -4- 9 = 8 X ? = 64 75 + ? = 100 99 ^ 9 = 6 X ? = 66 90 + ? = 100 63 -^ 9 = 7 X ? = 70 94 + ? = 100 54 -^ 9 = 8 X ? = 72 96 + ? = 100 45 -^ 9 = 10 X ? = 80 95 + ? = 100 [135] NUMBERS THROUGH 144 Tables of tens, elevens, ; md tw 'elves : 10 X 1 = 10 11 X 1 = 11 12x 1 = 12 10 X 2= 20 11 X 2 = 22 12x 2 = 24 10 X 3= 30 11 X 3 = 33 12x 3 = 36 10 X 4= 40 11 X 4 = 44 12 X -4 = 48 10 X 5 = 50 11 X 5 = 55 12x 5 = 60 10 X 6 = 60 11 X 6 = 66 12x 6 = 72 10 X 7= 70 11 X 7 = 77 12x 7 = 84 10 X 8 = 80 11 X 8 = 88 12x 8 = 96 10 X 9 = 90 11 X 9 = 99 12x 9 = 108 10 X 10 = 100 11 X 10= ] 110 12 X 10 = 120 lOx 11 = 110 11 X 11 = ] 121 12x11 = 132 10 X 12 = 120 11 X 12= ] 132 12 X 12 = 144 120 H- 10 = 121 - - ?= ] 60- H 12 = 90 -i- 10 = 55- - ?= ] 96- ■r- 12 = 50 ^ 10 = 99- - ? = ! 36- - 12 = 100 ^ 10 = 77- - r ^ ] 72- - 12 = 60 ^ 10 = 88- - ? = : 84- - 12 = 80 ^ 10 = 66- _ r s= ' 108- - 12 = 110 ^ 10 = 44- - ? = ' 48- - 12 = 40 ^ 10 = 110- - ? = ] 132- - 12 = 70 ^ 10 = 132- C 136] 144- - 12 = This textbook may be borrowed for two weeks, with tbo privilege of renew- ing it once. 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